Nuprl Lemma : set-sig-set-vatype
∀[Item:Type]. ∀[s:set-sig{i:l}(Item)]. valueall-type(set-sig-set(s)) supposing valueall-type(Item)
Proof
Definitions occuring in Statement :
set-sig-set: set-sig-set(s),
set-sig: set-sig{i:l}(Item),
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type
Lemmas :
subtype_rel_self,
valueall-type_wf,
bool_wf,
all_wf,
not_wf,
assert_wf,
iff_wf,
equal_wf,
or_wf,
set_wf,
sq_stable__valueall-type,
equal-wf-base,
base_wf,
set-sig_wf
\mforall{}[Item:Type]. \mforall{}[s:set-sig\{i:l\}(Item)]. valueall-type(set-sig-set(s)) supposing valueall-type(Item)
Date html generated:
2015_07_17-AM-08_21_06
Last ObjectModification:
2015_04_02-PM-05_42_49
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